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STA1010 - Statistical methods for science - S2 2025
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The random variable Y has the following probability distribution:
| y | 1 | 2 | 8 |
| Pr(Y=y) | 0.2 | 0.5 | 0.3 |
The mean or expected value of Y is
X is a random variable with mean 5 and standard deviation 3. If X was performed 6 times, what would the standard deviation of the resulting variable Y formed by the 6Xs? (Answer to one decimal place)
Find the standard deviation for the given probability distribution.
x | p(X) | x.P(X) | x2.P(X) |
0 | 0.21 |
|
|
1 | 0.08 |
|
|
2 | 0.08 |
|
|
3 | 0.36 |
|
|
4 | 0.27 |
|
|
According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.
Which of the following situations is the most appropriate example for a binomial random variable?